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The required minimum injection pressure for different flow velocities and tendon lengths has also been determined.
The plug sample requires a higher minimum injection pressure and more total diffusion time in the total porosity estimation with respect to crushed sample, because these two parameters are greatly decreased by crushing.
The concept and calculation of fracture gradient probably first came from the minimum injection pressure proposed by Hubbert and Willis (1957).
Therefore, they obtained the minimum injection pressure or fracture pressure in the following form: P_{text{inj}}^{hbox{min} } = frac{1}{3}(sigma_{text{V}} - p) + p, (2 where (sigma_{text{V}}) is the vertical stress.
They assumed that the minimum injection pressure to hold open and extend a fracture is equal to the minimum stress: P_{text{inj}}^{hbox{min} } = sigma_{text{h}}^{prime } + p = sigma_{text{h}}, (1 where (P_{text{inj}}^{ hbox{min} }) is the minimum injection pressure; (sigma_{text{h}}^{prime }) is the effective minimum stress; σ h is the minimum stress; and p is the pore pressure.
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In the experiment, the interfacial tension of Hg is 485 mN/m, the contact angle is 140° and the maximum injection pressure is 900 psi, such that the corresponding minimum of pore throat radius is 0.12 μm.
The vertical, horizontal maximum, minimum stress values, and injection pressure are expressed in Table 8.
Carbon dioxide may be applied as immiscible (injection pressure is less than minimum miscibility pressure (MMP) injection mode or as miscible mode (injection pressure is higher than MMP to develop a single phase of oil and injected gas), or supercritical carbon dioxide (SC-CO2, carbon dioxide is held at or above its critical temperature and critical pressure).
The injection pressure data with injected PV is recorded.
Table 4 In situ stress values and injection pressure for case 3 Case parameter Value Horizontal maximum stress (MPa) 35 Horizontal minimum stress (MPa) 30 Vertical stress (MPa) 36 Injection pressure (MPa) 15 Open image in new window Fig. 21 Failure index around the wellbore for case 3; shear failure.
Table 3 In situ stress values and injection pressure for case 2 Case parameter Value Horizontal maximum stress (MPa) 39 Horizontal minimum stress (MPa) 30 Vertical stress (MPa) 36 Injection pressure (MPa) 28 Open image in new window Fig. 20 Failure index around the wellbore for case 2; compaction failure.
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